Edit Profile (opens in new tab) Ben Belgacem, Faker Compute Distance To: Compute Author ID: ben-belgacem.faker Published as: Ben Belgacem, Faker; Ben Belgacem, F.; Belgacem, Faker Ben more...less Homepage: http://lmac.utc.fr/faker-ben-belgacem-3 External Links: MGP Documents Indexed: 92 Publications since 1993 Co-Authors: 58 Co-Authors with 78 Joint Publications 1,092 Co-Co-Authors all top 5 Co-Authors 13 single-authored 21 Azaïez, Mejdi 16 Bernardi, Christine 15 Jelassi, Faten 9 El Fekih, Henda 8 Maday, Yvon 5 Gmati, Nabil 4 Blouza, Adel 4 Fournié, Michel 4 Grundmann, Miloslav 4 Seshaiyer, Padmanabhan 3 Belhachmi, Zakaria 3 Chacón Rebollo, Tomás 3 Chilton, Lawrence K. 3 Du, Duc Thang 3 Hecht, Frédéric 3 Hild, Patrick 3 Kaber, Sidimahmoud 3 Laborde, Patrick 3 Renard, Yves 3 Vohralík, Martin 2 Ahusborde, Etienne 2 Buffa, Annalisa 2 Chorfi, Nejmeddine 2 Girault, Vivette 2 Khallouf, Hicham 2 Mint Brahim, Maimouna 2 Rapetti, Francesca 2 Raymond, Jean-Pierre 2 Slimane, Leila 1 Airiau, Stéphane 1 Andrle, Michael 1 Arfaoui, Hassen 1 Auliac, Sylvain 1 Ben Abdallah, Adnene 1 Bouchiba, Mohamed 1 Brenner, Susanne Cecelia 1 Casado-Díaz, Juan 1 Costabel, Martin 1 Dauge, Monique 1 Debit, Naïma 1 El Rhabi, Mohammed 1 Elbadia, Abdellatif 1 Escriva, Xavier 1 Gómez Mármol, Macarena 1 Guivarch, Ronan 1 Kaber, Sidi M. Ould 1 Karimi-Fard, Mohammad 1 Kateb, Djalil M. 1 Khiari, Souad 1 Le Bot, Cédric 1 Metoui, Hejer 1 Murat, François 1 Nouri, Thouraya Baranger 1 Palomo Del Barrio, E. 1 Robin, Vincent 1 Salmon, Stéphanie 1 Sánchez Muñoz, Isabel 1 Suri, Manil 1 Taallah, Frekh all top 5 Serials 11 Inverse Problems 7 SIAM Journal on Numerical Analysis 5 Computer Methods in Applied Mechanics and Engineering 5 Comptes Rendus de l’Académie des Sciences. Série I 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 IMA Journal of Numerical Analysis 3 Mathematics of Computation 3 Numerische Mathematik 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Inverse and Ill-Posed Problems 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Journal of Mathematical Study 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Computers and Fluids 2 Asymptotic Analysis 2 Journal of Scientific Computing 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 Mathematica Balkanica. New Series 1 Mathematical and Computer Modelling 1 Journal of Elasticity 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 East-West Journal of Numerical Mathematics 1 Revue Européenne des Éléments Finis 1 ETNA. Electronic Transactions on Numerical Analysis 1 Analele Universității din Craiova. Seria Matematică Informatică 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Communications in Mathematical Sciences 1 Inverse Problems in Science and Engineering 1 Inverse Problems and Imaging 1 Mathematical Modelling of Natural Phenomena all top 5 Fields 61 Numerical analysis (65-XX) 56 Partial differential equations (35-XX) 19 Mechanics of deformable solids (74-XX) 15 Fluid mechanics (76-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 3 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 924 times in 592 Documents Cited by ▼ Year ▼ The mortar finite element method with Lagrange multipliers. Zbl 0944.65114Ben Belgacem, Faker 185 1999 The mortar element method for three dimensional finite elements. Zbl 0868.65082Ben Belgacem, F.; Maday, Y. 66 1997 Why is the Cauchy problem severely ill-posed? Zbl 1118.35060Ben Belgacem, Faker 54 2007 Hybrid finite element methods for the Signorini problem. Zbl 1023.74043Ben Belgacem, F.; Renard, Y. 43 2003 On Cauchy’s problem. I: A variational Steklov-Poincaré theory. Zbl 1112.35054Ben Belgacem, Faker; El Fekih, Henda 41 2005 Extension of the mortar finite element method to a variational inequality modeling unilateral contact. Zbl 0940.74056Ben Belgacem, Faker; Hild, Patrick; Laborde, Patrick 34 1999 The mortar finite element method for contact problems. Zbl 1098.74682Ben Belgacem, F.; Hild, P.; Laborde, P. 34 1998 Numerical simulation of some variational inequalities arisen from unilateral contact problems by the finite element methods. Zbl 0974.74055Ben Belgacem, F. 34 2000 On Cauchy’s problem. II: Completion, regularization and approximation. Zbl 1113.35046Azaïez, Mejdi; Ben Belgacem, Faker; El Fekih, Henda 33 2006 Quadratic finite element approximation of the Signorini problem. Zbl 1112.74446Belhachmi, Z.; Ben Belgacem, F. 20 2003 The mortar finite element method for 3D Maxwell equations: First results. Zbl 1001.65123Ben Belgacem, F.; Buffa, A.; Maday, Y. 20 2001 Approximation of the unilateral contact problem by the mortar finite element method. Zbl 0872.65057Ben Belgacem, Faker; Hild, Patrick; Laborde, Patrick 19 1997 Singular perturbation for the Dirichlet boundary control of elliptic problems. Zbl 1051.49012Ben Belgacem, Faker; El Fekih, Henda; Metoui, Hejer 17 2003 The mixed mortar finite element method for the incompressible Stokes problem: Convergence analysis. Zbl 0959.65126Ben Belgacem, Faker 17 2000 A spectral element methodology tuned to parallel implementations. Zbl 0841.65096Ben Belgacem, F.; Maday, Y. 16 1994 Spectral element discretization of the Maxwell equations. Zbl 0932.65110Ben Belgacem, F.; Bernardi, C. 16 1999 The Lavrentiev regularization of the data completion problem. Zbl 1153.35399Ben Belgacem, F.; El Fekih, H.; Jelassi, F. 14 2008 Optimal convergence rates of \(hp\) mortar finite element methods for second-order elliptic problems. Zbl 0956.65106Ben Belgacem, Faker; Seshaiyer, Padmanabhan; Suri, Manil 14 2000 Inf-sup conditions for the mortar spectral element discretization of the Stokes problem. Zbl 0955.65088Ben Belgacem, F.; Bernardi, C.; Chorfi, N.; Maday, Y. 13 2000 A penalized Robin approach for solving a parabolic equation with nonsmooth Dirichlet boundary conditions. Zbl 1043.35014Ben Belgacem, F.; El Fekih, H.; Raymond, J.-P. 13 2003 Identification of moving pointwise sources in an advection-dispersion-reaction equation. Zbl 1210.35280Andrle, M.; Ben Belgacem, F.; El Badia, A. 12 2011 Some nonstandard finite element estimates with applications to \(3D\) Poisson and Signorini problems. Zbl 0981.65131Ben Belgacem, Faker; Brenner, Susanne C. 11 2001 A stabilized domain decomposition method with nonmatching grids for the Stokes problem in three dimensions. Zbl 1159.76359Ben Belgacem, Faker 11 2004 On the Dirichlet boundary controllability of the one-dimensional heat equation: semi-analytical calculations and ill-posedness degree. Zbl 1217.35208Ben Belgacem, Faker; Kaber, Sidi Mahmoud 10 2011 A density result for Maxwell’s equations. (Un résultat de densité pour les équations de Maxwell.) Zbl 0880.35115Ben Belgacem, Faker; Bernardi, Christine; Costabel, Martin; Dauge, Monique 10 1997 Staggered grid hybrid-dual spectral element method for second-order elliptic problems. Application to high-order time splitting methods for Navier-Stokes equations. Zbl 0969.76066Azaïez, M.; Ben Belgacem, F.; Grundmann, M.; Khallouf, H. 9 1998 Spectral discretization of Darcy’s equations with pressure dependent porosity. Zbl 1342.76090Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine; Chorfi, Nejmeddine 9 2010 The \(hp\)-mortar finite-element method for the mixed elasticity and Stokes problems. Zbl 1221.65302Ben Belgacem, F.; Chilton, L. K.; Seshaiyer, P. 9 2003 Polynomial extensions of compatible polynomial traces in three dimensions. Zbl 0826.65097Ben Belgacem, Faker 8 1994 On the unilateral contact between membranes. II: A posteriori analysis and numerical experiments. Zbl 1451.74176Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Vohralík, Martin 7 2012 Coupling spectral and finite elements for second order elliptic three-dimensional equations. Zbl 0942.65132Ben Belgacem, Faker; Maday, Yvon 7 1999 Mortaring the two-dimensional edge finite elements for the discretization of some electromagnetic models. Zbl 1100.78017Ben Abdallah, Adnene; Ben Belgacem, Faker; Maday, Yvon; Rapetti, Francesca 7 2004 Quadratic finite elements with non-matching grids for the unilateral boundary contact. Zbl 1308.74140Auliac, S.; Belhachmi, Z.; Ben Belgacem, F.; Hecht, F. 7 2013 A finite element discretization of the contact between two membranes. Zbl 1157.74036Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Vohralík, Martin 6 2009 Extended-domain-Lavrentiev’s regularization for the Cauchy problem. Zbl 1227.65088Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten 6 2011 On the unilateral contact between membranes. I: Finite element discretization and mixed reformulation. Zbl 1162.74031Ben Belgacem, F.; Bernardi, C.; Blouza, A.; Vohralík, M. 6 2009 Dirichlet boundary control for a parabolic equation with a final observation. I: A space-time mixed formulation and penalization. Zbl 1217.49005Ben Belgacem, Faker; Bernardi, Christine; Fekih, Henda El 5 2011 Uniqueness for an ill-posed reaction-dispersion model. Application to organic pollution in stream-waters. Zbl 1251.35184Ben Belgacem, Faker 5 2012 Non-conforming spectral method for second order elliptic problems in 3D. Zbl 0835.65129Ben Belgacem, F.; Maday, Y. 5 1993 A mixed formulation for the Signorini problem in nearly incompressible elasticity. Zbl 1086.74037Ben Belgacem, F.; Renard, Y.; Slimane, L. 5 2005 Karhunen-Loève’s truncation error for bivariate functions. Zbl 1425.65066Azaïez, M.; Ben Belgacem, F. 4 2015 A finite element model for the data completion problem: analysis and assessment. Zbl 1242.65191Azaïez, Mejdi; Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten 4 2011 On the Schwarz algorithms for the elliptic exterior boundary value problems. Zbl 1089.65126Ben Belgacem, Faker; Fournié, Michel; Gmati, Nabil; Jelassi, Faten 4 2005 Finite element methods for the temperature in composite media with contact resistance. Zbl 1323.80004Ben Belgacem, Faker; Bernardi, Christine; Jelassi, Faten; Mint Brahim, Maimouna 4 2015 Boundary stabilizability of the linearized viscous Saint-Venant system. Zbl 1382.35205Arfaoui, Hassen; Ben Belgacem, Faker; El Fekih, Henda; Raymond, Jean-Pierre 3 2011 Convergence bounds of GMRES with Schwarz’ preconditioner for the scattering problem. Zbl 1176.76060Ben Belgacem, Faker; Gmati, Nabil; Jelassi, Faten 3 2009 Automatic simplification of darcy’s equations with pressure dependent permeability. Zbl 1311.76128Ahusborde, Etienne; Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine 3 2013 On the obstacle problem for a Naghdi shell. Zbl 1273.74350Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Taallah, Frekh 3 2011 The mortar method for the Maxwell’s equations in 3D. Zbl 0941.65118Ben Belgacem, Faker; Buffa, Annalisa; Maday, Yvon 3 1999 Numerical simulation of the wave equation with discontinuous coefficients by nonconforming finite elements. Zbl 0940.65104Azaïez, M.; Ben Belgacem, F.; El Fekih, H.; Ismaïl, M. 3 1999 On handling the boundary conditions at infinity for some exterior problems by the alternating Schwarz method. (Sur le traitement des conditions aux limites à l’infini pour quelques problèmes extérieurs par la méthode de Schwarz alternée.) Zbl 1027.65161Ben Belgacem, F.; Fournié, M.; Gmati, N.; Jelassi, F. 3 2003 Quadratic optimization in ill-posed problems. Zbl 1147.49021Ben Belgacem, F.; Kaber, S-M 3 2008 Approximation of the wave and electromagnetic diffusion equations by spectral method. Zbl 0913.65118Ben Belgacem, F.; Grundmann, M. 3 1998 Identifiability of surface sources from Cauchy data. Zbl 1177.35247Ben Belgacem, F.; Jelassi, F. 2 2009 Numerical solution of Monge-Ampère equation. Zbl 1132.65105Bouchiba, M.; Ben Belgacem, F. 2 2006 Uniqueness for an ill-posed parabolic system. Zbl 1237.35158Ben Belgacem, Faker 2 2011 Analysis of Lavrentiev-finite element methods for data completion problems. Zbl 1444.65035Ben Belgacem, F.; Girault, V.; Jelassi, F. 2 2018 Local convergence of the Lavrentiev method for the Cauchy problem via a Carleman inequality. Zbl 1280.65120Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten 2 2012 A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems. Zbl 1447.35145Azaïez, M.; Ben Belgacem, F.; Casado-Díaz, J.; Rebollo, T. Chacón; Murat, F. 2 2018 Remarks on the eigenvalues of the Laplace operator with different boundary conditions approximated by spectral method. (Remarques sur les valeurs propres de l’opérateur de Laplace avec différentes conditions aux limites approché par méthode spectrale.) Zbl 0845.47038Ben Belgacem, Faker 1 1995 The mortar spectral element method in domains of operators. II: The curl operator and the vector potential problem. Zbl 1139.65073Azaïez, M.; Ben Belgacem, F.; Bernardi, C.; El Rhabi, M. 1 2008 Uniqueness in a Cauchy problem for reaction-diffusion system and inverse source problems in water pollution. Zbl 1251.35185Ben Belgacem, Faker 1 2012 Numerical analysis of a model for an axisymmetric guide for electromagnetic waves. I: The continuous problem and its Fourier expansion. Zbl 1125.35099Ben Belgacem, Faker; Bernardi, Christine; Rapetti, Francesca 1 2005 Finite elements of order two for Signorini’s variational inequality. (Éléments finis d’ordre deux pour l’inéquation variationnelle de Signorini.) Zbl 0965.65093Belhachmi, Zakaria; Ben Belgacem, Faker 1 2000 Finite element methods for unilateral contact problems. (Méthodes d’éléments finis pour des inéquations variationnelles de contact unilatéral.) Zbl 0944.74070Ben Belgacem, Faker 1 1999 Error bounds for POD expansions of parameterized transient temperatures. Zbl 1425.74446Azaïez, M.; Ben Belgacem, F.; Rebollo, T. Chacón 1 2016 Ill-posedness of inverse diffusion problems by Jacobi’s theta transform. Zbl 1424.65151Belgacem, Faker Ben; Kateb, Djalil M.; Robin, Vincent 1 2018 An ill-posed parabolic evolution system for dispersive deoxygenation-reaeration in water. Zbl 1285.35129Azaïez, M.; Ben Belgacem, F.; Hecht, F.; Le Bot, C. 1 2014 Non-conforming \(hp\) finite element methods for Stokes problems. Zbl 1205.76074Ben Belgacem, Faker; Chilton, Lawrence K.; Seshaiyer, Padmanabhan 1 2002 On mixed methods for Signorini problems. Zbl 1073.35516Ben Belgacem, Faker; Renard, Yves; Slimane, Leila 1 2003 Stabilized finite elements for a reaction-dispersion saddle-point problem with nonconstant coefficients. Zbl 1311.65142Ben Belgacem, Faker; Bernardi, Christine; Hecht, Frédéric; Salmon, Stéphanie 1 2014 The mortar spectral element method in domains of operators. I: The divergence operator and Darcy’s equations. Zbl 1094.65116Azaïez, M.; Ben Belgacem, F.; Bernardi, C. 1 2006 Analysis of Lavrentiev-finite element methods for data completion problems. Zbl 1444.65035Ben Belgacem, F.; Girault, V.; Jelassi, F. 2 2018 A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems. Zbl 1447.35145Azaïez, M.; Ben Belgacem, F.; Casado-Díaz, J.; Rebollo, T. Chacón; Murat, F. 2 2018 Ill-posedness of inverse diffusion problems by Jacobi’s theta transform. Zbl 1424.65151Belgacem, Faker Ben; Kateb, Djalil M.; Robin, Vincent 1 2018 Error bounds for POD expansions of parameterized transient temperatures. Zbl 1425.74446Azaïez, M.; Ben Belgacem, F.; Rebollo, T. Chacón 1 2016 Karhunen-Loève’s truncation error for bivariate functions. Zbl 1425.65066Azaïez, M.; Ben Belgacem, F. 4 2015 Finite element methods for the temperature in composite media with contact resistance. Zbl 1323.80004Ben Belgacem, Faker; Bernardi, Christine; Jelassi, Faten; Mint Brahim, Maimouna 4 2015 An ill-posed parabolic evolution system for dispersive deoxygenation-reaeration in water. Zbl 1285.35129Azaïez, M.; Ben Belgacem, F.; Hecht, F.; Le Bot, C. 1 2014 Stabilized finite elements for a reaction-dispersion saddle-point problem with nonconstant coefficients. Zbl 1311.65142Ben Belgacem, Faker; Bernardi, Christine; Hecht, Frédéric; Salmon, Stéphanie 1 2014 Quadratic finite elements with non-matching grids for the unilateral boundary contact. Zbl 1308.74140Auliac, S.; Belhachmi, Z.; Ben Belgacem, F.; Hecht, F. 7 2013 Automatic simplification of darcy’s equations with pressure dependent permeability. Zbl 1311.76128Ahusborde, Etienne; Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine 3 2013 On the unilateral contact between membranes. II: A posteriori analysis and numerical experiments. Zbl 1451.74176Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Vohralík, Martin 7 2012 Uniqueness for an ill-posed reaction-dispersion model. Application to organic pollution in stream-waters. Zbl 1251.35184Ben Belgacem, Faker 5 2012 Local convergence of the Lavrentiev method for the Cauchy problem via a Carleman inequality. Zbl 1280.65120Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten 2 2012 Uniqueness in a Cauchy problem for reaction-diffusion system and inverse source problems in water pollution. Zbl 1251.35185Ben Belgacem, Faker 1 2012 Identification of moving pointwise sources in an advection-dispersion-reaction equation. Zbl 1210.35280Andrle, M.; Ben Belgacem, F.; El Badia, A. 12 2011 On the Dirichlet boundary controllability of the one-dimensional heat equation: semi-analytical calculations and ill-posedness degree. Zbl 1217.35208Ben Belgacem, Faker; Kaber, Sidi Mahmoud 10 2011 Extended-domain-Lavrentiev’s regularization for the Cauchy problem. Zbl 1227.65088Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten 6 2011 Dirichlet boundary control for a parabolic equation with a final observation. I: A space-time mixed formulation and penalization. Zbl 1217.49005Ben Belgacem, Faker; Bernardi, Christine; Fekih, Henda El 5 2011 A finite element model for the data completion problem: analysis and assessment. Zbl 1242.65191Azaïez, Mejdi; Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten 4 2011 Boundary stabilizability of the linearized viscous Saint-Venant system. Zbl 1382.35205Arfaoui, Hassen; Ben Belgacem, Faker; El Fekih, Henda; Raymond, Jean-Pierre 3 2011 On the obstacle problem for a Naghdi shell. Zbl 1273.74350Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Taallah, Frekh 3 2011 Uniqueness for an ill-posed parabolic system. Zbl 1237.35158Ben Belgacem, Faker 2 2011 Spectral discretization of Darcy’s equations with pressure dependent porosity. Zbl 1342.76090Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine; Chorfi, Nejmeddine 9 2010 A finite element discretization of the contact between two membranes. Zbl 1157.74036Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Vohralík, Martin 6 2009 On the unilateral contact between membranes. I: Finite element discretization and mixed reformulation. Zbl 1162.74031Ben Belgacem, F.; Bernardi, C.; Blouza, A.; Vohralík, M. 6 2009 Convergence bounds of GMRES with Schwarz’ preconditioner for the scattering problem. Zbl 1176.76060Ben Belgacem, Faker; Gmati, Nabil; Jelassi, Faten 3 2009 Identifiability of surface sources from Cauchy data. Zbl 1177.35247Ben Belgacem, F.; Jelassi, F. 2 2009 The Lavrentiev regularization of the data completion problem. Zbl 1153.35399Ben Belgacem, F.; El Fekih, H.; Jelassi, F. 14 2008 Quadratic optimization in ill-posed problems. Zbl 1147.49021Ben Belgacem, F.; Kaber, S-M 3 2008 The mortar spectral element method in domains of operators. II: The curl operator and the vector potential problem. Zbl 1139.65073Azaïez, M.; Ben Belgacem, F.; Bernardi, C.; El Rhabi, M. 1 2008 Why is the Cauchy problem severely ill-posed? Zbl 1118.35060Ben Belgacem, Faker 54 2007 On Cauchy’s problem. II: Completion, regularization and approximation. Zbl 1113.35046Azaïez, Mejdi; Ben Belgacem, Faker; El Fekih, Henda 33 2006 Numerical solution of Monge-Ampère equation. Zbl 1132.65105Bouchiba, M.; Ben Belgacem, F. 2 2006 The mortar spectral element method in domains of operators. I: The divergence operator and Darcy’s equations. Zbl 1094.65116Azaïez, M.; Ben Belgacem, F.; Bernardi, C. 1 2006 On Cauchy’s problem. I: A variational Steklov-Poincaré theory. Zbl 1112.35054Ben Belgacem, Faker; El Fekih, Henda 41 2005 A mixed formulation for the Signorini problem in nearly incompressible elasticity. Zbl 1086.74037Ben Belgacem, F.; Renard, Y.; Slimane, L. 5 2005 On the Schwarz algorithms for the elliptic exterior boundary value problems. Zbl 1089.65126Ben Belgacem, Faker; Fournié, Michel; Gmati, Nabil; Jelassi, Faten 4 2005 Numerical analysis of a model for an axisymmetric guide for electromagnetic waves. I: The continuous problem and its Fourier expansion. Zbl 1125.35099Ben Belgacem, Faker; Bernardi, Christine; Rapetti, Francesca 1 2005 A stabilized domain decomposition method with nonmatching grids for the Stokes problem in three dimensions. Zbl 1159.76359Ben Belgacem, Faker 11 2004 Mortaring the two-dimensional edge finite elements for the discretization of some electromagnetic models. Zbl 1100.78017Ben Abdallah, Adnene; Ben Belgacem, Faker; Maday, Yvon; Rapetti, Francesca 7 2004 Hybrid finite element methods for the Signorini problem. Zbl 1023.74043Ben Belgacem, F.; Renard, Y. 43 2003 Quadratic finite element approximation of the Signorini problem. Zbl 1112.74446Belhachmi, Z.; Ben Belgacem, F. 20 2003 Singular perturbation for the Dirichlet boundary control of elliptic problems. Zbl 1051.49012Ben Belgacem, Faker; El Fekih, Henda; Metoui, Hejer 17 2003 A penalized Robin approach for solving a parabolic equation with nonsmooth Dirichlet boundary conditions. Zbl 1043.35014Ben Belgacem, F.; El Fekih, H.; Raymond, J.-P. 13 2003 The \(hp\)-mortar finite-element method for the mixed elasticity and Stokes problems. Zbl 1221.65302Ben Belgacem, F.; Chilton, L. K.; Seshaiyer, P. 9 2003 On handling the boundary conditions at infinity for some exterior problems by the alternating Schwarz method. (Sur le traitement des conditions aux limites à l’infini pour quelques problèmes extérieurs par la méthode de Schwarz alternée.) Zbl 1027.65161Ben Belgacem, F.; Fournié, M.; Gmati, N.; Jelassi, F. 3 2003 On mixed methods for Signorini problems. Zbl 1073.35516Ben Belgacem, Faker; Renard, Yves; Slimane, Leila 1 2003 Non-conforming \(hp\) finite element methods for Stokes problems. Zbl 1205.76074Ben Belgacem, Faker; Chilton, Lawrence K.; Seshaiyer, Padmanabhan 1 2002 The mortar finite element method for 3D Maxwell equations: First results. Zbl 1001.65123Ben Belgacem, F.; Buffa, A.; Maday, Y. 20 2001 Some nonstandard finite element estimates with applications to \(3D\) Poisson and Signorini problems. Zbl 0981.65131Ben Belgacem, Faker; Brenner, Susanne C. 11 2001 Numerical simulation of some variational inequalities arisen from unilateral contact problems by the finite element methods. Zbl 0974.74055Ben Belgacem, F. 34 2000 The mixed mortar finite element method for the incompressible Stokes problem: Convergence analysis. Zbl 0959.65126Ben Belgacem, Faker 17 2000 Optimal convergence rates of \(hp\) mortar finite element methods for second-order elliptic problems. Zbl 0956.65106Ben Belgacem, Faker; Seshaiyer, Padmanabhan; Suri, Manil 14 2000 Inf-sup conditions for the mortar spectral element discretization of the Stokes problem. Zbl 0955.65088Ben Belgacem, F.; Bernardi, C.; Chorfi, N.; Maday, Y. 13 2000 Finite elements of order two for Signorini’s variational inequality. (Éléments finis d’ordre deux pour l’inéquation variationnelle de Signorini.) Zbl 0965.65093Belhachmi, Zakaria; Ben Belgacem, Faker 1 2000 The mortar finite element method with Lagrange multipliers. Zbl 0944.65114Ben Belgacem, Faker 185 1999 Extension of the mortar finite element method to a variational inequality modeling unilateral contact. Zbl 0940.74056Ben Belgacem, Faker; Hild, Patrick; Laborde, Patrick 34 1999 Spectral element discretization of the Maxwell equations. Zbl 0932.65110Ben Belgacem, F.; Bernardi, C. 16 1999 Coupling spectral and finite elements for second order elliptic three-dimensional equations. Zbl 0942.65132Ben Belgacem, Faker; Maday, Yvon 7 1999 The mortar method for the Maxwell’s equations in 3D. Zbl 0941.65118Ben Belgacem, Faker; Buffa, Annalisa; Maday, Yvon 3 1999 Numerical simulation of the wave equation with discontinuous coefficients by nonconforming finite elements. Zbl 0940.65104Azaïez, M.; Ben Belgacem, F.; El Fekih, H.; Ismaïl, M. 3 1999 Finite element methods for unilateral contact problems. (Méthodes d’éléments finis pour des inéquations variationnelles de contact unilatéral.) Zbl 0944.74070Ben Belgacem, Faker 1 1999 The mortar finite element method for contact problems. Zbl 1098.74682Ben Belgacem, F.; Hild, P.; Laborde, P. 34 1998 Staggered grid hybrid-dual spectral element method for second-order elliptic problems. Application to high-order time splitting methods for Navier-Stokes equations. Zbl 0969.76066Azaïez, M.; Ben Belgacem, F.; Grundmann, M.; Khallouf, H. 9 1998 Approximation of the wave and electromagnetic diffusion equations by spectral method. Zbl 0913.65118Ben Belgacem, F.; Grundmann, M. 3 1998 The mortar element method for three dimensional finite elements. Zbl 0868.65082Ben Belgacem, F.; Maday, Y. 66 1997 Approximation of the unilateral contact problem by the mortar finite element method. Zbl 0872.65057Ben Belgacem, Faker; Hild, Patrick; Laborde, Patrick 19 1997 A density result for Maxwell’s equations. (Un résultat de densité pour les équations de Maxwell.) Zbl 0880.35115Ben Belgacem, Faker; Bernardi, Christine; Costabel, Martin; Dauge, Monique 10 1997 Remarks on the eigenvalues of the Laplace operator with different boundary conditions approximated by spectral method. (Remarques sur les valeurs propres de l’opérateur de Laplace avec différentes conditions aux limites approché par méthode spectrale.) Zbl 0845.47038Ben Belgacem, Faker 1 1995 A spectral element methodology tuned to parallel implementations. Zbl 0841.65096Ben Belgacem, F.; Maday, Y. 16 1994 Polynomial extensions of compatible polynomial traces in three dimensions. Zbl 0826.65097Ben Belgacem, Faker 8 1994 Non-conforming spectral method for second order elliptic problems in 3D. Zbl 0835.65129Ben Belgacem, F.; Maday, Y. 5 1993 all cited Publications top 5 cited Publications all top 5 Cited by 902 Authors 27 Wohlmuth, Barbara I. 26 Ben Belgacem, Faker 18 Bernardi, Christine 18 Hild, Patrick 12 Azaïez, Mejdi 10 Chen, Jinru 10 Maday, Yvon 10 Popp, Alexander 10 Renard, Yves 9 Seshaiyer, Padmanabhan 8 Jelassi, Faten 8 Laursen, Tod A. 7 Bertoluzza, Silvia 7 Dehghan Takht Fooladi, Mehdi 7 Liu, Chein-Shan 7 Wall, Wolfgang A. 6 Baranger, Thouraya Nouri 6 Buffa, Annalisa 6 Burman, Erik 6 Caubet, Fabien 6 Gong, Wei 6 Le Tallec, Patrick 6 Münch, Arnaud 6 Patel, Ajit 6 Puso, Michael Anthony 6 Yotov, Ivan 5 Acharya, Sanjib Kumar 5 Andrieux, Stéphane 5 Belhachmi, Zakaria 5 Chacón Rebollo, Tomás 5 Chorfi, Nejmeddine 5 Chouly, Franz 5 Ciarlet, Patrick jun. 5 Dardé, Jérémi 5 Girault, Vivette 5 Gmati, Nabil 5 Gudi, Thirupathi 5 Hansbo, Peter 5 Hauret, Patrice 5 Laborde, Patrick 5 Nicaise, Serge 5 Rapetti, Francesca 5 Steinbach, Olaf 5 Wheeler, Mary Fanett 5 Wunderlich, Linus 5 Xu, Xuejun 4 Alduncin, Gonzalo 4 Ben Abda, Amel 4 Chakib, Abdelkrim 4 Dabaghi, Jad 4 Deville, Michel O. 4 Fernández-Cara, Enrique 4 Gee, Michael W. 4 Hamdi, Adel 4 Hu, Weiwei 4 Krause, Rolf H. 4 Larson, Mats G. 4 Li, Huiyuan 4 Li, Likang 4 Marcinkowski, Leszek 4 Melenk, Jens Markus 4 Nachaoui, Abdeljalil 4 Nachaoui, Mourad 4 Quarteroni, Alfio M. 4 Rahman, Talal 4 Raymond, Jean-Pierre 4 Sabouri, Mania 4 Shi, Dongyang 4 Tur, Manuel 4 Yan, Ningning 4 Youn, Sung-Kie 4 Zhang, Hongwu 3 Bourgeois, Laurent 3 Debit, Naïma 3 Deparis, Simone 3 Dornisch, Wolfgang 3 Drouet, Guillaume 3 Eguzkitza, Beatriz 3 Franceschini, Andrea 3 Gervasio, Paola 3 Gosselet, Pierre 3 Han, Weimin 3 Hecht, Frédéric 3 Hoppe, Ronald H. W. 3 Horger, Thomas 3 Houzeaux, Guillaume 3 Huang, Jianguo 3 Hüeber, Stefan 3 Jamelot, Erell 3 Joly, Patrick 3 Karkulik, Michael 3 Kim, Hyun-Gyu 3 Lamichhane, Bishnu Prasad 3 Marin, Liviu 3 Martin, Vincent 3 Mund, Ernest H. 3 Orfi, Ajmia Younes 3 Ouaissa, Hamid 3 Pani, Amiya Kumar 3 Passieux, Jean-Charles ...and 802 more Authors all top 5 Cited in 113 Serials 95 Computer Methods in Applied Mechanics and Engineering 26 Computers & Mathematics with Applications 24 Computational Mechanics 22 International Journal for Numerical Methods in Engineering 22 Applied Numerical Mathematics 22 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 21 Journal of Computational Physics 21 Numerische Mathematik 19 Mathematics of Computation 18 Journal of Computational and Applied Mathematics 17 Journal of Scientific Computing 14 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Applied Mathematics and Computation 11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 Inverse Problems in Science and Engineering 8 SIAM Journal on Numerical Analysis 7 Applied Mathematical Modelling 7 Engineering Analysis with Boundary Elements 6 Computers and Fluids 6 Journal of Mathematical Analysis and Applications 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Applicable Analysis 5 Inverse Problems 5 BIT 5 Numerical Algorithms 5 Archives of Computational Methods in Engineering 4 Mathematical Methods in the Applied Sciences 4 Calcolo 4 Numerical Functional Analysis and Optimization 4 Numerical Methods for Partial Differential Equations 4 International Journal of Computer Mathematics 4 Journal of Inverse and Ill-Posed Problems 4 Advances in Computational Mathematics 4 Journal of Numerical Mathematics 4 Journal of Applied Mathematics and Computing 4 Inverse Problems and Imaging 4 S\(\vec{\text{e}}\)MA Journal 3 Computing 3 Mathematics and Computers in Simulation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 SIAM Journal on Control and Optimization 3 Numerical Linear Algebra with Applications 3 Computational and Applied Mathematics 3 Computational Geosciences 3 Computational Methods in Applied Mathematics 3 Boundary Value Problems 3 GAMM-Mitteilungen 2 International Journal of Heat and Mass Transfer 2 Journal of Differential Equations 2 Journal of Optimization Theory and Applications 2 Journal of Elasticity 2 SIAM Journal on Mathematical Analysis 2 Multibody System Dynamics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Acta Numerica 2 Mathematical Modelling of Natural Phenomena 2 Evolution Equations and Control Theory 2 SIAM/ASA Journal on Uncertainty Quantification 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 International Journal of Solids and Structures 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Wave Motion 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 Automatica 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Results in Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Mathematical and Computer Modelling 1 MCSS. Mathematics of Control, Signals, and Systems 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 Communications in Numerical Methods in Engineering 1 Physics of Fluids 1 Applicationes Mathematicae 1 Annales Mathématiques Blaise Pascal 1 Filomat 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 European Journal of Mechanics. A. Solids 1 Journal of Mathematical Study 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics and Computer Science 1 Engineering Computations 1 Living Reviews in Relativity 1 Nonlinear Analysis. Real World Applications 1 Foundations of Computational Mathematics ...and 13 more Serials all top 5 Cited in 34 Fields 428 Numerical analysis (65-XX) 253 Partial differential equations (35-XX) 193 Mechanics of deformable solids (74-XX) 94 Fluid mechanics (76-XX) 58 Calculus of variations and optimal control; optimization (49-XX) 28 Optics, electromagnetic theory (78-XX) 22 Systems theory; control (93-XX) 12 Classical thermodynamics, heat transfer (80-XX) 8 Operator theory (47-XX) 7 Functional analysis (46-XX) 7 Geophysics (86-XX) 7 Operations research, mathematical programming (90-XX) 5 Ordinary differential equations (34-XX) 5 Mechanics of particles and systems (70-XX) 5 Biology and other natural sciences (92-XX) 4 Integral equations (45-XX) 4 Computer science (68-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) Citations by Year